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There are an infinite number of possibilities. One set is

8, 12, 12, 12 and 16

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Q: What five numbers have a mean of 12 and a range of 8?

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(10, 12, 12, 13, 13)

12 and 8

6, 6, 15, 16, 17

16 and 8 is the simplest example. Mean = (16 + 8) / 2 = 12 Range = 16 - 8 = 8

Because the mode is 5, we know at least two of the numbers are 5. Because the median is 12 and we have five numbers, we know one of them is 12. Because the range is 10 and the smallest number we know so far is 5, we'll try 15 for a fourth number. This gives us: 5, 5, 12, 15 The mean is 10, so we know the sum of all five numbers is 50. The sum of the four numbers we have so far is 5+5+12+15 = 37. Thus, the fifth number is 50-37 = 13. That gives us 5, 5, 12, 13, 15. These five numbers fit all the criteria.

Mean: 20.2222222 Median: 12 Mode: 11 Range: 79

99 + 82 + 12 + 97 + 12 = 60.4 The mean of the five numbers is therefore 60.4.

There are five numbers in that range with 12 factors, but none with exactly eleven.

5, 5, 8, 10, 12.

There is no single answer to that. You could come up with many sets of numbers that would have those properties.

(4, 4, 6, 10, 12)

You can represent 2^12 or 4096 numbers in 12 bits, if that's what you mean?

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